D:-Neither paired nor correlated
Correct Answer:- Option-C
Question80:-With usual notations, the criterion for acceptance in SPRT is
A:-"lambda_m <= ((1-beta})/(alpha}
B:-"lambda_m >= ({1-beta})/(alpha) *
C:-"lambda_m <=(beta)/({(1-alpha)} *
D:-* lambda_m >= (beta)/{(1-alpha)"
Correct Answer:- Option-C
Question81:-The Poisson process with parameter A is 8 renewal counting process for which the unit lifetimes have
distribution with common parameter A
A:-Poisson
B:-Exponential
C:-Uniform

D:-Geometric
Correct Answer:- Option-B
Question82:-Let *{X_n,n= 0, 1, 2...}" be a Branching process and the comresponding offspring distribution has a paf *P (s}
= (2)/(3) +6+5^2)/(6}
ಹಿಂ

. Find the probability of extinction of the process

0-1
Correct Answer:- Option-D
Question83:-Let *{X_n}" be a renewal process with *‘mu = E (X_1) 00” and if "M {t)" is the renewal function, then
` [7 {->00) ॥४ ()/0) =
कप एप) *
8:10 `
றும்‌ *
0: ஈய `
Correct Answer:- Option-A
Question84:-If * 's are independent Poisson variates with respective parameters “lambda_i’, for*
conditional distribution of *X_1, X_2,... X k" given their sum *sum_(i=1}"kX_i=n"isa '
parameters and .
ncmialwiflwpalameters‘n‘and‘(l)l(k)‘
B:ncmialwithparameters‘k‘and‘(l)l(n)‘
C:-Mulfincmla'Iwithparameters‘n‘and‘(l)l(k)‘
D:-Multincmla'let'hparameters‘k‘and‘(l)/(n)‘
Correct Answer:- Option-C
Question85:-If * (X_1, X_2)" is a Bivariate normal random vector with parameters *(mu_{X1}, mu_{X2}, sigma ~2_X_1,
sigma~2_X_2, rho’), when “sigma~2_X_1 =sigma~2_X_2 * and “rho = 0", the density function is called
tical Normal
B:-Circular Normal
C:-Symmetrical Normal
D:-Uniform Normal
Correct Answer:- Option-B
Question86:-If the random vector *X" follows Multivariate Normal distribution with mean vector 0 and dispersion matrix
X' are quadratic forms of rank “r_i* such that “sum_{i=1)*k A, ೧” , then a necessary and sufficient
0 शि ` 01 516 be distributed as independent chi-square random variables with *r_i* d.f is that

Question87:-The relationship between partial correlation coefficients “r_{ij.k},” multiple correlation
coefficients *R_{i.jk} and simple comrelation coefficients *r_{ij}* is

കമ 123515 (1-೧2 32) 1 -2_33.2):

B:"R*2_1.23 =1 - (1- 1212) (1- 2 13.2)

ളമ ടവ മ 2/2 132

15-82 123 ടാം (12 12) / 132)

Correct Answer:- Option-B
Question88:-Hotelling's “T~2" statistic and Mahalnobis "D~2" statistic are connected by the relationship